How do you combine like terms in (5x ^ { 2} + 4x - 9) - ( - x ^ { 2} - 6x - 1)(5x2+4x9)(x26x1)?

1 Answer
May 27, 2017

See a solution process below:

Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

5x^2 + 4x - 9 + x^2 + 6x + 15x2+4x9+x2+6x+1

Next, group like terms:

5x^2 + x^2 + 4x + 6x - 9 + 15x2+x2+4x+6x9+1

Now, combine like terms:

5x^2 + 1x^2 + 4x + 6x - 9 + 15x2+1x2+4x+6x9+1

(5 + 1)x^2 + (4 + 6)x + (-9 + 1)(5+1)x2+(4+6)x+(9+1)

6x^2 + 10x + (-8)6x2+10x+(8)

6x^2 + 10x - 86x2+10x8